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3 years ago

The graph of F(x), shown below, resembles the graph of G(x) = x^2?, but it has

Mathematics

2 answers:

Ilia_Sergeevich [38]3 years ago

7 0

Answer:

Step-by-step explanation:

Slope is negative, derivative of x shows that -3 is the maximum in C/D but C is not negative

vichka [17]3 years ago

3 0

Answer: D

Step-by-step explanation:

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PLEASE HELP ILL MARK BRAINLIEST !!!

Alexus [3.1K]

Answer:

a) the common difference is 20

b) $x_8=115 , x_{12}=195$

c) the common difference is -13

d) $a_{12}=52, a_{15}=13$

Step-by-step explanation:

a) what is the common difference of the sequence xn

Looking at the table, we get x_3=16, x_4=36 and x_5= 56

Deterring the common difference by subtracting x_4 from x_3 we get

36-16 =20

So, the common difference is 20

b) what is x_8? what is x_12

The formula used is: $x_n=x_1+(n-1)d$

We know common difference d= 20, we need to find $x_1$

Using $x_3=16$ we can find $x_1$

$x_n=x_1+(n-1)d\\x_3=x_1+(3-1)d\\15=x_1+2(20)\\15=x_1+40\\x_1=15-40\\x_1=-25$

So, We have $x_1 = -25$

Now finding $x_8$

$x_n=x_1+(n-1)d\\x_8=x_1+(8-1)d\\x_8=-25+7(20)\\x_8=-25+140\\x_8=115$

So, $\mathbf{x_8=115}$

Now finding $x_{12}$

$x_n=x_1+(n-1)d\\x_{12}=x_1+(12-1)d\\x_{12}=-25+11(20)\\x_{12}=-25+220\\x_{12}=195$

So, $\mathbf{x_{12}=195}$

c) what is the common difference of the sequence $a_m$

Looking at the table, we get a_7=104, a_8=91 and a_9= 78

Deterring the common difference by subtracting a_7 from a_8 we get

91-104 =-13

So, the common difference is -13

d) what is a_12? what is a_15?

The formula used is: $a_n=a_1+(n-1)d$

We know common difference d= -13, we need to find $a_1$

Using $a_7=104$ we can find $x_1$

$a_n=a_1+(n-1)d\\a_7=a_1+(7-1)d\\104=a_1+7(-13)\\104=a_1-91\\a_1=104+91\\a_1=195$

So, We have $a_1 = 195$

Now finding $a_{12}$ , put n=12

$a_n=a_1+(n-1)d\\a_{12}=a_1+(12-1)d\\a_{12}=195+11(-13)\\a_{12}=195-143\\a_{12}=52$

So, $\mathbf{a_{12}=52}$

Now finding $a_{15}$ , put n=15

$a_n=a_1+(n-1)d\\a_{15}=a_1+(15-1)d\\a_{15}=195+14(-13)\\a_{15}=195-182\\a_{15}=13$

So, $\mathbf{a_{15}=13}$

5 0

3 years ago

PLEASE HELP ME HURRY

Ymorist [56]

Answer:

6/5

Step-by-step explanation:

8 0

3 years ago

Which fraction is equivalent to <br><br> 3/5

pentagon [3]

Answer:

12/20

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Find the approximate side length of a square game board with an area of 157 in^2.

Nesterboy [21]

Answer:

12.52 in.

Step-by-step explanation:

Area of square(A)=157in^2

length of square (l)=?

we know,

A=l^2

or,sqrt 157=l

12.52 in=l

3 0

2 years ago

Alana is 4 years older than her brother Ernie Ernie is two years older than her sister Amelia Amelia is 10 years younger than th

OverLord2011 [107]

Answer:

Alana is 13 years old.

Step-by-step explanation:

Assuming you meant Mazo = Maisel,

You start from the bottom:

Amelia is 10 years younger than 17-year-old Maisel.

Amelia is 7 years old. (17-10)

Ernie is 2 years older than 7-year-old Amelia.

Ernie is 9. (2+7)

Alana is 4 years older than 9-year-old Ernie.

Alana is 13 years old. (4+9)

Hope this helps!

-EmV

4 0

3 years ago